Deriving sufficient conditions for global asymptotic stability of delayed neural networks via nonsmooth analysis II
Deriving sufficient conditions for global asymptotic stability of delayed neural networks via nonsmooth analysis II
Following our recent approach of nonsmooth analysis, we report a new set of sufficient conditions and its implications for the global asymptotic stability of delayed cellular neural networks (DCNN). The new conditions not only unify a string of previous stability results, but also yield strict improvement over them by allowing the symmetric part of the feedback matrix positive definite, hence enlarging the application domain of DCNNs. Advantages of the new results over existing ones are illustrated with examples. We also compare our results with those related results obtained via LMI approach.
1701-1706
Qi, H.
f17e4212-5bb5-4c62-a5eb-6f211bf49d19
Qi, L.
d1312bc6-c7fc-45e0-b75d-baaf78babbc1
Yang, X.Q.
b0344a02-7c45-4034-ac68-c396e77ac9e5
2005
Qi, H.
f17e4212-5bb5-4c62-a5eb-6f211bf49d19
Qi, L.
d1312bc6-c7fc-45e0-b75d-baaf78babbc1
Yang, X.Q.
b0344a02-7c45-4034-ac68-c396e77ac9e5
Qi, H., Qi, L. and Yang, X.Q.
(2005)
Deriving sufficient conditions for global asymptotic stability of delayed neural networks via nonsmooth analysis II.
IEEE Transactions on Neural Networks, 16 (6), .
(doi:10.1109/TNN.2005.852975).
Abstract
Following our recent approach of nonsmooth analysis, we report a new set of sufficient conditions and its implications for the global asymptotic stability of delayed cellular neural networks (DCNN). The new conditions not only unify a string of previous stability results, but also yield strict improvement over them by allowing the symmetric part of the feedback matrix positive definite, hence enlarging the application domain of DCNNs. Advantages of the new results over existing ones are illustrated with examples. We also compare our results with those related results obtained via LMI approach.
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Published date: 2005
Organisations:
Operational Research
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Local EPrints ID: 29652
URI: http://eprints.soton.ac.uk/id/eprint/29652
PURE UUID: f317189f-e890-4a73-8632-7447136c48dd
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Date deposited: 11 May 2006
Last modified: 15 Mar 2024 07:33
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Author:
H. Qi
Author:
L. Qi
Author:
X.Q. Yang
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